What is the limit as x approaches 0 of (7x)/(|x|) ?

The limit as x approaches 0 of (7x)/(|x|) is diverges

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limit as x approaches 0 of (7x)/(|x|)

x \to 0 lim (\frac{7 x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{7 x}{∣ x ∣})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{7 x}{∣ x ∣}) = 7

x \to 0 - lim (\frac{7 x}{∣ x ∣}) = - 7

= diverges

x \to 1 - lim (ln (x^{2} - 1))

x \to 6 + lim (\frac{7}{x - 6})

\int_{0}^{7} 2 t^{2} - 20 t + 48 d t

\int tan^{3} (15 π x) d x

\int_{1}^{4} \frac{4}{x} - \frac{16}{x ^{2}} d x

What is the limit as x approaches 0 of (7x)/(|x|) ?
The limit as x approaches 0 of (7x)/(|x|) is diverges